Question

What is the slope of the line that goes through the points (-4, 5) and (6, 2)?​

Answer 1

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Answer:  $\textsf{-3/10}$

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Given:  $\textsf{Points (-4, 5) and (6, 2)}$

Find:  $\textsf{Slope of the line that goes between the points}$

Solution:  In order to determine the slope of a line we need to follow the slope formula to determine it.  Just plug in the values and simplify.

Plug in the values

• $m = \frac{y_2 - y_1}{x_2 - x_1}$

• $m = \frac{2 - 5}{6 - (-4)}$

Simplify the expression

• $m = \frac{-3}{6 + 4}$

• $m = -\frac{3}{10}$

Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.